asdf


x1 = 2787891;
x2 = 0.0001;
q1 = 0.0001;
q2 = 0.9999;

E_x = q1 * x1 + q2 * x2;
ln_E_x = log(E_x);

E_ln_x = q1 * log(x1) + q2 * log(x2);



P_x_y = [
    0.81 0.13; 
    0.19 0.87
];

P_x = [
    0.5; 
    0.5
];







e1 = log(2);
fprintf('e1 is: %d \n', e1);

e2 = log(4);
fprintf('e1 is: %d \n', e2);

e1_plus_e2_exp = 0.3 * e1;
fprintf('e1_plus_e2 is: %d \n', e1_plus_e2_exp);

e_exp = log(exp(133));
fprintf('e_exp is: %d \n', e_exp);


